Question

Given f(x) = x + 9 and g(x) = x2 find (gºf)(x).

Answer 1

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

Explanation:

(gºf)(x) is the "c .... " of two functions f(x) and g(x): f(x) is the input to g(x).

We start with g(x): g(x) = x^2. We replace the first x with f(x) and the second x with x + 9:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81